Answer:
B. (1,5) and (5.25, 3.94)
Step-by-step explanation:
The answer is where the 2 equations intersect.
We need to solve the following system of equations:
y = -x^2 + 6x
4y = 21 - x
From the second equation:
x = 21 - 4y
Plug this into the first equation:
y = -(21 - 4y)^2 + 6(21 - 4y)
y = -(441 - 168y + 16y^2)+ 126 - 24y
y = -441 + 168y - 16y^2 + 126 - 24y
16y^2 + y - 168y + 24y + 441 - 126 = 0
16y^2 - 143y + 315 = 0
y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)
y = 5, 3.938
When y = 5:
x = 21 - 4(5) = 1
When y = 3.938
x = 21 - 4(3.938) = 5.25.
Answer:
3/10
Step-by-step explanation:
2/5 + x = 7/10
x = 7/10 - 2/5
x = 7/10 - 4/10
x = 3/10
Answer:
54$
Step-by-step explanation:
If 6% per year for 3 years, we can do 6 x 3 = 18 to find the total interest percent over all the years. Then we can do 18% of 300 = 54 Therefore, you will gain 54$ of simple in three years.
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Answer:
8 hours
Step-by-step explanation:
12/2= 6
He grades 6 exams per hour
48/6= 8
it would take 8 hours to grade 48 exams
Bonus:
it takes him 10 minutes to grade an exam. That doesnt matter for this question but it's good 2 know
Answer:
3 hours and 51 minutes
Step-by-step explanation:
Take the ending time and subtract the start time
3:13pm - 11:22am
Remember that pm means aft 12 o'clock in the after noon so add 12 hours
12+3:13 - 11:22
15:13 - 11:22
We are subtracting more minutes than we have so we have to borrow from the hours
1 hour = 60 minutes
14 : 60+13 - 11:22
14:73 - 11:22
3: 51
3 hours and 51 minutes
